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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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1,323 prompts matching "Completing the square with a fractional coefficient of x"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Cambridge-style question: change of base formula

I am in SS 3. Give me an Additional Maths question requiring the change of base formula to

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Structured question: equation of a line through two points

I am in SS 3. Give me a structured question where I find the equation of a straight line t

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Structured question: perpendicular bisector of a line segment

I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr

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Structured question: equation of a circle from centre and a point

I am in SS 3. Set me a structured question where I am given the centre of a circle and a p

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Find the equation command word: circle through the origin

I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th

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Structured question: intersection of a line and a circle

I am in SS 3. Give me a structured question where I substitute a line's equation into a ci

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Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

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Show that command word: binomial coefficient identity

I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi

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WAEC exam question: rate of change problem

I am in SS 3. Give me a WAEC-style Further Maths question involving a rate of change, such

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Timed 20-minute Further Maths exam practice

I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering

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WAEC exam question: the converse, the inverse and the contrapositive

Act as my SS3 Further Mathematics examiner. Set me an exam-standard question on the conver

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Structured question: converse, inverse, and contrapositive together

I am in SS 3. Set me a structured question where, for one given conditional statement, I m

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Determine command word: validity of an argument

I am in SS 3. Give me an exam question phrased 'determine whether the following argument i

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WAEC exam question: testing an argument with a truth table

I am in SS 3. Give me a WAEC Further Maths exam question with a two-premise argument, and

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Structured question: arrangements with a restriction

I am in SS 3. Give me a structured permutations question where letters or people must be a

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Structured question: permutations with repeated letters

I am in SS 3. Set me a structured question asking for the number of distinct arrangements

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WAEC exam question: arranging books on a shelf with a rule

I am in SS 3. Give me a WAEC-style permutations question about arranging books on a shelf

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Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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Structured question: binomial expansion with a negative term

I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking

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Solve x^2 - 6x - 16 = 0 with full exam working

I am in SS 3. Give me the equation x^2 - 6x - 16 = 0 as an Additional Maths exam question

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